The former Aston Villa midfielder is yet to make an appearance for the reigning Premier League champions after undergoing a hernia operation this summer.
Rodwell, signed in a £12m deal from Everton, has been deputising for Barry in midfield, while García, who completed a £15.8m switch from Benfica, is yet to make his debut for the Citizens.
“Javi García and Jack Rodwell already seem to be settling in well,” said Barry.
“I know Jack better because he’s an English guy and been playing in the Premier League for a few years and he’s a great addition to the squad.
“I think he’s done really well in the first few games he’s played and he seems to have bedded in nicely. I’m sure that the longer he’s here and the more games he plays, he’ll get better and better.
“I don’t that much about Javi just yet, but his English is excellent and I have done a bit of individual training with him. He seems like a really good player and I’m sure he’ll adapt to the English game quickly.”
Barry also admitted his former midfield partner Nigel De Jong will be missed at the Eastlands outfit after the Netherlands international joined AC Milan in August.
“I started with Nigel and he was here on my first day and made me feel very welcome so he’ll be a big loss in the dressing room and to the club – if you ask any of the other lads, they’ll say the same thing,” he added.
“Unfortunately that’s part and parcel of football and players come and go at every club. We had a good relationship on and off the pitch and played a lot of games together so as I say, he’ll be missed.”
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